scholarly journals Generalized Steffensen Type Inequalities Involving Convex Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Josip Pečarić ◽  
Ksenija Smoljak Kalamir
Keyword(s):  
Convex Functions ◽  
Linear Functionals ◽  
Left Hand ◽  
Exponentially Convex Functions ◽  
The Difference ◽  
The Right ◽  
Class Of Functions ◽  
Right And Left Hand

In this paper generalized Steffensen type inequalities related to the class of functions that are “convex at pointc” are derived and as a consequence inequalities involving the class of convex functions are obtained. Moreover, linear functionals from the difference of the right- and left-hand side of the obtained generalized inequalities are constructed and new families of exponentially convex functions related to constructed functionals are derived.

Refinements of the majorization-type inequalities via green and fink identities and related results

2018 ◽  
Vol 68 (4) ◽  
pp. 773-788 ◽  
Author(s):  
Sadia Khalid ◽  
Josip Pečarić ◽  
Ana Vukelić
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Convex Functions ◽  
Type Inequality ◽  
Cauchy Type ◽  
Linear Functionals ◽  
Ostrowski’S Inequality ◽  
New Family ◽  
Exponentially Convex Functions ◽  
The Difference

Abstract In this work, the Green’s function of order two is used together with Fink’s approach in Ostrowski’s inequality to represent the difference between the sides of the Sherman’s inequality. Čebyšev, Grüss and Ostrowski-type inequalities are used to obtain several bounds of the presented Sherman-type inequality. Further, we construct a new family of exponentially convex functions and Cauchy-type means by looking to the linear functionals associated with the obtained inequalities.

STUDIES ON HABITUATION TO COLD PAIN

1966 ◽  
Vol 44 (2) ◽  
pp. 287-293 ◽  
Author(s):  
Jacques LeBlanc ◽  
Pierre Potvin
Keyword(s):  
Cold Water ◽  
Mental Arithmetic ◽  
Blood Pressure Response ◽  
Human Subjects ◽  
Cold Pain ◽  
Left Hand ◽  
Water Test ◽  
The Difference ◽  
The Right ◽  
Habituation To Cold

It was possible to produce habituation to cold in a group of human subjects by immersing the left hand in cold water for [Formula: see text] minutes twice a day for 19 days. The right hand did not adapt. Another group of subjects was exposed similarly with the difference that an anxiety test (mental arithmetic test) was always given simultaneously with the cold-water test. In this second group the original blood pressure response, i.e. for the first day, was greater than in the first group because of the cumulative effects of the two tests. After 19 days definite evidence was obtained for adaptation to these two tests administered together. However, when these tests were given separately to the second group, no adaptation was evident; adaptation occurred only to both tests given simultaneously. These results indicate that no adaptation develops to cold per se if the subjects are distracted from cold discomfort. It was also found that adaptation of one hand to cold water not only failed to induce adaptation in the opposite hand but even reinforced responses of the unadapted hand. These findings suggest a participation of the central nervous system in adaptation to cold pain, and tend to minimize the importance of local peripheral changes.

scholarly journals Refinements of the Lower Bounds of the Jensen Functional

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Iva Franjić ◽  
Sadia Khalid ◽  
Josip Pečarić
Keyword(s):  
Lower Bounds ◽  
Jensen Inequality ◽  
Left Hand ◽  
Right Hand ◽  
Special Cases ◽  
Jensen Functional ◽  
The Difference ◽  
The Right

The lower bounds of the functional defined as the difference of the right-hand and the left-hand side of the Jensen inequality are studied. Refinements of some previously known results are given by applying results from the theory of majorization. Furthermore, some interesting special cases are considered.

scholarly journals Sacramento Peak Magnetograph

1971 ◽  
Vol 43 ◽  
pp. 65-70
Author(s):  
Richard B. Dunn
Keyword(s):  
Paper Tape ◽  
Circularly Polarized ◽  
Sacramento Peak ◽  
Left Hand ◽  
Tape Reader ◽  
Raster Scan ◽  
Paper Tape Reader ◽  
Original Scheme ◽  
The Right ◽  
Right And Left Hand

The Sac Peak magnetograph (DZA) has been modified from Evans' original scheme so that it measures the displacement of the right and left hand circularly polarized lines separately. The computer reduction calculates the Zeeman and radial velocity signals. A grating servo system has been added to correct for slow temperature drifts in the spectrograph. A paper-tape reader controls the raster scan and the formatting of data on to magnetic tape.

Foot Performance of Right- and Left-Handers: A Question of Environmental Influence

1995 ◽  
Vol 80 (2) ◽  
pp. 671-674 ◽  
Author(s):  
Carl Gabbard ◽  
Susan Hart
Keyword(s):  
Environmental Influence ◽  
Hand Preference ◽  
Adequate Explanation ◽  
Driving Experience ◽  
Left Hand ◽  
Left Handed ◽  
Right Hand ◽  
Theoretical Perspectives ◽  
The Difference ◽  
The Right

Prior research has shown that right-handed adults perform better on a speed-tapping task with the right hand and right foot, while left-handers execute more rapidly with the left hand and right foot. Speculation is that environmental influence, most likely driving experience, may account for the right-foot bias. To examine this hypothesis further, 48 young right- and left-handed children were tested on a similar protocol. Analyses indicated no significant differences in foot performance within hand-preference groups. Since these findings do not complement reports for adults, factors such as experience or maturation might contribute to the difference. Were patterns similar, the effect of environmental influence would be assumed to be small. However, much more evidence is needed before an adequate explanation can be developed. The issue of possible environmental influence is discussed from various theoretical perspectives.

Purdue Pegboard: Test-Retest Estimates

1988 ◽  
Vol 66 (2) ◽  
pp. 503-506 ◽  
Author(s):  
John R. Reddon ◽  
David M. Gill ◽  
Stephen E. Gauk ◽  
Marita D. Maerz
Keyword(s):  
Temporal Stability ◽  
Retest Reliability ◽  
Left Hand ◽  
Right Hand ◽  
The Right ◽  
Test Retest Reliability ◽  
Right And Left Hand ◽  
Over Time

26 normal, self-reported dextral subjects (12 men, 14 women) were assessed with a Purdue Pegboard 5 times at weekly intervals to evaluate temporal stability and efficacy of lateralization with this test. There was a statistically significant increase in performance over time for men on the right- and left-hand placing subtests and for women on the assemblies subtest. For men/women the test-retest reliability over the 5 sessions averaged .63/.76 for the right-hand, .64/.79 for the left-hand, .67/.81 for both-hands, .81/.83 for assemblies, and .33/.22 for the right/left-hand ratio.

scholarly journals Valuations on convex functions and convex sets and Monge–Ampère operators

2019 ◽  
Vol 19 (3) ◽  
pp. 313-322 ◽  
Author(s):  
Semyon Alesker
Keyword(s):  
Convex Functions ◽  
Convex Sets ◽  
Convex Bodies ◽  
Linear Functionals ◽  
Translation Invariant ◽  
Infinite Dimensional ◽  
Dense Image ◽  
Monge Ampere ◽  
Explicit Relation ◽  
Class Of Functions

Abstract The notion of a valuation on convex bodies is very classical; valuations on a class of functions have been introduced and studied by M. Ludwig and others. We study an explicit relation between continuous valuations on convex functions which are invariant under adding arbitrary linear functionals, and translation invariant continuous valuations on convex bodies. More precisely, we construct a natural linear map from the former space to the latter and prove that it has dense image and infinite-dimensional kernel. The proof uses the author’s irreducibility theorem and properties of the real Monge–Ampère operators due to A.D. Alexandrov and Z. Blocki. Furthermore we show how to use complex, quaternionic, and octonionic Monge–Ampère operators to construct more examples of continuous valuations on convex functions in an analogous way.

Register of Dupuytren’s Disease (Contracture) in Tatarstan Republic: Efficacy of Surgical Treatment

2013 ◽  
Vol 20 (1) ◽  
pp. 10-17
Author(s):  
R. O Magomedov ◽  
G. I Mikusev ◽  
R. F Baykeev ◽  
I. E Mikusev ◽  
A. E Nikitina
Keyword(s):  
Surgical Treatment ◽  
Postoperative Complications ◽  
Treatment Efficacy ◽  
Hand Function ◽  
Left Hand ◽  
Complete Restoration ◽  
Palmar Aponeurosis ◽  
The Right ◽  
Common Intervention ◽  
Right And Left Hand

Analysis of Dupuytren’s contracture (DC) surgical treatment efficacy according to the Tatarstan Republic DC Register (258 patients, 343 hands) was performed. Partial wedge-shaped excision of palmar aponeurosis was the most common intervention on both the right and left hand. Late (1 year and over) postoperative complications (POC) — relapse, dissemination, progression were detected in 41.8% of patients at terms up to 15 years. Presence of POC on the operated hand caused disturbance of its function in 11.9% of cases on the right and 16.3% of cases on the left. Curability from DC made up 34.9 — 73.8% depending on the operated hand. Complete restoration of hand function was achieved in 22.2—100% of observations. Surgical treatment of DC enabled to ensure favorable patient’s condition at term 1 year and over in 67.5 and 59.9% of cases on the right and left hand respectively.

scholarly journals Drawing with the Non-dominant Hand: Implications for the Study of Construction

1998 ◽  
Vol 25 (4) ◽  
pp. 306-309 ◽  
Author(s):  
Sherma Zacharias ◽  
Andrew Kirk
Keyword(s):  
Neurological Disease ◽  
Right Hemisphere ◽  
Normal Subjects ◽  
Elderly Subjects ◽  
Dominant Hand ◽  
Left Hand ◽  
Right Hand ◽  
Left And Right ◽  
The Right ◽  
Right And Left Hand

ABSTRACT:Background:Constructional impairment following left vs. right hemisphere damage has been extensively studied using drawing tasks. A confounding factor in these studies is that right-handed patients with left hemisphere damage (LHD) are often forced by weakness to use their non-dominant (left) hand or hemiparetic dominant hand. Qualitative differences in the drawing characteristics of left and right hand drawings by normal subjects have not previously been characterized. The present study was undertaken to determine the qualitative differences between left and right hand drawings of normal subjects.Methods:Thirty right-handed, elderly subjects without a history of neurological disease were asked to draw, from memory, seven objects using the right and left hand. Half of the subjects were randomly assigned to draw with the left hand first, and half the right hand first. Right and left hand drawings were compared using a standardized scoring system utilized in several previous studies of drawing in focal and diffuse neurological disease. Each drawing was scored on eighteen criteria. Right and left hand drawing scores were then compared using the t-test for paired samples or the Wilcoxon matched-pairs testResults:Drawings made using the left hand were found to be significantly simpler, more tremulous and of poorer overall quality than drawings made by the same subjects using the right hand.Conclusions:The deficits found in left versus right hand drawings of normals are similar to those found in patients with LHD, suggesting that much of the drawing impairment seen following LHD is due to an elementary motor disturbance related to use of the non-dominant hand.

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